半圆形凸起地形对SH波的散射与地震动——有多个浅埋圆孔情形

详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文

英文篇名：Scattering of SH-waves by a semi-cylindrical hill above multiple subsurface cavities 中文刊名：自然灾害学报 英文刊名：Journal of Natural Disasters 作者：杜永军 ; 赵启成 ; 刘殿魁 ; 邱发强 英文作者：DU Yong-jun~1 ; 2 ; ZHAO Qi-cheng~1 ; LIU Dian-kui~2 ; QIU Fa-qiang~2 (1.Mechanical Science and Engineering College ; Daqing Petroleum Institute ; Daqing 163318 ; China ; 2.School of Civil Engineering ; Harbin Engineering University ; Harbin 150001 ; China) 中文关键词：SH波散射 ; 契合 ; 半圆形凸起 ; 移动坐标 ; 多个浅埋圆孔 英文关键词：scattering of SH-wave ; conjunction ; semi-cylindrical hill ; moving coordinate ; multiple subsurface circular cavity 出版日期：2005-06-30 机构：大庆石油学院机械科学与工程学院,大庆石油学院机械科学与工程学院,哈尔滨工程大学建筑工程学院,哈尔滨工程大学建筑工程学院 黑龙江大庆163318,哈尔滨工程大学建筑工程学院,黑龙江哈尔滨150001 ,黑龙江大庆163318 ,黑龙江哈尔滨150001 ,黑龙江哈尔滨150001 年：2005 期：03 出版单位：自然灾害学报

摘要

采用“契合”的思想,给出了地下多个孔洞与地面上的半圆形凸起地形对SH波散射问题的解答。将整个求解区域分割成两部分来处理,其一为包括半圆形凸起地形在内的一个圆形区域I,其余为区域II。在区域I中,构造了一个上半部边界应力为零,而其余部分位移、应力任意的驻波解;在区域II中,构造了半圆形凹陷和浅埋圆孔的散射波,且要求它满足水平界面上应力为零的约束条件。然后再通过移动坐标,满足“公共边界”的“契合”条件和地下孔洞的边界条件,建立起求解该问题的无穷代数方程组。最后,给出了分析例题和数值结果,并对地表位移幅值进行了讨论。
The interaction between a semi-cylindrical hill and the subsurface multiple circular cavities with incident SH-wave is studied in this paper. The method of complex function and multi-polar coordinate is employed here. During the solution, the model is divided into two domains, domain I is a circle including boundary of the hill, and the rest is regarded as domain II, which is an elastic half-space including a canyon whose boundary is the shared line of the two domains and the circular cavities below. A standing wave function which satisfies the condition of stress free at the hill edge is constructed in domain I, while scattered wave functions satisfying the zero-stress condition at the horizontal surface is constructed in another part. By employing zero-stress condition around the circular cavities and displacement-stress continuity on the domains' shared line, the problem is solved. Numerical examples and relative discussion is provided finally.

引文

[1]廖振鹏.工程波动理论导引[M].北京:科学出版社,1996.
    [2]胡聿贤.地震工程学[M].北京:地震出版社,1998.
    [3]TrifunacMD.ScatteringofplaneSH-wavesbyasemi-cylindricalcanyon[J].EarthquakeEngineeringandStructuralDynamics,1973,(1):267-281.
    [4]LiuDiankui,HanFeng.ScatteringofplaneSH-wavesbycylindricalcanyonofarbitraryshapeinanisotropicmedia[J].ActaMechanicsSinica.1990,6(3):256-260.
    [5]LiuDiankui,HanFeng.ScatteringofplaneSH-wavesbyacylindricalcanyonofarbitraryshape[J].Int.J.Soil.DynamicandEarthquake Engineering,1991,10(5):249-255.
    [6]YuanXiaoming,MenFulu.ScatteringofplaneSH-wavesbyasemi-cylindricalhill[J]".Earthq.Eng.andStruct.Dynamics,1992(21):1091-1098.
    [7]崔志刚,曹欣荣,刘殿魁.SH波对半圆形凸起地形的散射[J].地震工程与工程振动,1998,18(1):140-146.
    [8]刘殿魁,曹欣荣,崔志刚.多个半圆形凸起地形对平面SH波散射[J].固体力学学报,1998,(特刊):178-185.
    [9]LeeVW,ManoogianME.SurfacemotionaboveanarbitraryshapeundergrandcavityforincidentSHwave[J].EuropeanEarthqueEngineering,1995,8(1):3-11.
    [10]LeeVW,ChenS,HsuIR.Antiplanediffractionfromcanyonabovesubsurfaceunlinedtunner[J].ASCE.Eng.Mech.Div.,1999,125(2):668-674.
    [11]黎在良,刘殿魁.固体中的波[M].北京:科学出版社,1995.